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4 years ago

Complete the equation of the line through (-8,-2) (-4,6) Use exact numbers.

Mathematics

1 answer:

kykrilka [37]4 years ago

4 0

Answer:

y = 2x + 14

Step-by-step explanation:

First, you have to find the slope by using

y2-y1

x2-x1

In other words,

-2-6

-8+4

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

y-y1=m(x-x1)

Remember that m is the slope.

y+2=2(x+8)

Distribute the slope to the parenthesis

y+2=2x+16

Isolate the y variable

y=2x2x+14

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Answer:

P(A∣D) = 0.667

Step-by-step explanation:

We are given;

P(A) = 3P(B)

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Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.

Using Bayes' Rule and Law of Total Probability, we will get;

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Plugging in the relevant values, we have;

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P(B) will cancel out to give;

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4 years ago

Find the true balance:

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

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We distribute the terms using FOIL method .

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